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distance from a point to a plane


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(in 3-dimensional space)

The distance from the point P to the plane p is the shortest distance between P and a point in p, and is equal to |PN|, where N is the point in p such that the line PN is normal to p. If P has coordinates (x1, y1, z1) and p has equation ax+by+cz+d=0, the distance from P to p is equal to

where |ax1+by1+cz1+d| is the absolute value of ax1+by1+cz1+d.

Subjects: Mathematics.


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